Search a number
-
+
5360256000 = 21034531147
BaseRepresentation
bin1001111110111111…
…10000010000000000
3111211120021012220000
410333133300100000
541434211143000
62243520520000
7246555265341
oct47737602000
914746235800
105360256000
1123007a7740
121057180000
13675696018
1438bc7c0c8
152158b9000
hex13f7f0400

5360256000 has 880 divisors, whose sum is σ = 22256163072. Its totient is φ = 1271808000.

The previous prime is 5360255983. The next prime is 5360256019. The reversal of 5360256000 is 6520635.

5360256000 is a `hidden beast` number, since 5 + 3 + 602 + 56 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 114047977 + ... + 114048023.

Almost surely, 25360256000 is an apocalyptic number.

5360256000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5360256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11128081536).

5360256000 is an abundant number, since it is smaller than the sum of its proper divisors (16895907072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5360256000 is a wasteful number, since it uses less digits than its factorization.

5360256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5360256000 is about 73213.7691967843. The cubic root of 5360256000 is about 1750.0958859026.

Adding to 5360256000 its reverse (6520635), we get a palindrome (5366776635).

The spelling of 5360256000 in words is "five billion, three hundred sixty million, two hundred fifty-six thousand".